The document presents data from a survey of students on their lunch habits. A two-way table shows that of the boys surveyed, 24 have school dinners and 12 have packed lunches. Of the girls surveyed, 16 have school dinners and 32 have packed lunches. The document then provides examples of facts that can be derived from this data, such as the total number of students who have school dinners or packed lunches. It introduces the concept of using two-way tables to calculate probabilities.

1. Entry Activity
• Students in a school were asked if they had
school dinners or packed lunches.
• Their results are shown below.
Boys Girls
School dinners
24 16
Packed lunch
12 32
Write down 9 facts that this table shows you.

2. Answers
1. 24 boys have school diner
2. 16 girls have school dinner
3. 12 boys have packed lunch
4. 32 girls have packed lunch
5. 40(24 + 16) students have school dinner
6. 44(12 + 32) have packed lunch
7. 36(24 + 12) boys either have school dinners or packed lunch
8. 48(16 + 32) girls either have school dinner or packed lunch
9. 84(24 + 16 + 12 + 32) students have either school dinners or
packed lunch

3. Tuesday, 7th June, 2011
Today I will learn to collect data and record in
a two-way table.
Level 5
Challenge:
I will learn how to use two way tables to
calculate probabilities
Level 6
Key Words
• Two-way table
• Data
• Frequency

4. Practical task
• Keeping the students in their groups, explain
that their task is to collect data from
• the whole class and record it.
• Use the data collection sheets as shown
below, or the students can design their own.
• One student from each group is the
‘collector’, the rest of the group are the
• ‘informers’. Each ‘collector’ goes from group to
group collecting their data.

6. Now lets look at probability!
What is the probability that girls like Maths?
What is the probability that students in our
class like Science?
What is the probability that our class don’t like
English?
Now you make up some probabilities for the
other two-way tables and record on your
group poster!

7. Homework
1. Design a two way table of your choice.
2. Collect information from at least 30 people
3. Record your results in your two way table
4. Write some probability questions about your data collected
EG:
Boys Girls
School dinners
2 16
Packed lunch
8 5
What is the probability that girls have school dinners?
What is the probability that children have packed lunches?
What is the probability that boys don’t have school dinners?